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Question
In ΔABC, ∠ABC = 90°, ∠BAC = ∠BCA = 45°. If AC = `9sqrt(2)`, then find the value of AB.
Sum
Solution
Given, in ΔABC
∠ABC = 90°
∠BAC = ∠BCA = 45°
AC = `9sqrt(2)`
Now, AB = `1/sqrt(2) xx "AC"` ......[Property of 45 ° – 45° – 90°]
∴ AB = `1/sqrt(2) xx 9sqrt(2)`
∴ AB = 9
shaalaa.com
Property of 45°- 45°- 90° Triangle Theorem
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